India · CBSE Learning Outcomes
Class 11 Mathematics
This course bridges secondary mathematics and high level calculus through rigorous explorations of sets, functions, and algebraic structures. Students develop abstract reasoning skills and mathematical modeling techniques essential for higher education in STEM fields.
Sets and Functions
Exploration of the foundational language of mathematics through set theory, relations, and functional mapping.
Understanding the collection of objects and the logical operations that define their interactions.
Analyzing how elements from different sets interact through specific rules and ordered pairs.
Extending right-angle trigonometry to circular functions and periodic behavior.
Algebraic Structures
Deep dive into complex numbers, linear inequalities, and the systematic arrangement of objects.
Introducing the imaginary unit to solve equations that lack real roots.
Solving and graphing systems of inequalities to find feasible regions.
Principles of counting and the systematic arrangement of discrete elements.
Coordinate Geometry
Bridging algebra and geometry through the study of lines, conic sections, and three dimensional space.
Analyzing the properties, slopes, and various forms of linear equations.
The study of curves generated by the intersection of a plane and a double cone.
Extending coordinate geometry concepts into spatial dimensions.
Calculus Foundations
Introduction to the mathematics of change through limits and derivatives.
Understanding the behavior of functions as they approach specific points.
Developing the concept of instantaneous rate of change and the slope of a curve.
Mathematical Reasoning and Proof
Developing the logical tools required to validate mathematical statements and patterns.
A technique for proving statements that are true for all natural numbers.
Exploring Arithmetic and Geometric progressions and their infinite sums.
Statistics and Probability
Analyzing data variance and the likelihood of events in uncertain environments.
Calculating variance and standard deviation to understand data spread.
A formal approach to probability using set theory and sample spaces.